GCD of 816, 829, 214, 755 Calculator

Given Input numbers are 816, 829, 214, 755

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 816, 829, 214, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 829, 214, 755 is 1.

Therefore, GCD of numbers 816, 829, 214, 755 is 1

Given Input Data is 816, 829, 214, 755

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 829 is 829

Prime Factorization of 214 is 2 x 107

Prime Factorization of 755 is 5 x 151

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(816, 829) = 676464

GCD(816, 829) = ( 816 x 829 ) / 676464

GCD(816, 829) = 676464 / 676464

GCD(816, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 816, 829, 214, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 108, 285, 513
• GCD of 917, 665, 103, 726
• GCD of 115, 206, 595, 456
• GCD of 354, 632, 997, 672
• GCD of 213, 892, 454, 278

1. What is the GCD of 816, 829, 214, 755?

GCD of 816, 829, 214, 755 is 1

2. Where do I get the detailed procedure to find GCD of 816, 829, 214, 755?

You can find a detailed procedure to find GCD of 816, 829, 214, 755 on our page.

3. How to find GCD of 816, 829, 214, 755 on a calculator?

You can find the GCD of 816, 829, 214, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.